Convert BCD 0001 0010 0110 to binary

By Himanshu Bajpai|Updated : July 26th, 2022

Convert BCD 0001 0010 0110 to binary 

  1. 1111110
  2. 1111101
  3. 1111000
  4. 1111111

Answer - A. 1111110

The binary form of BCD 0001 0010 0110 is 1111110.

Solution

The detailed solution to the question convert BCD 0001 0010 0110 to binary is provided here. 

  • The minimum required several bits to represent a value in binary format can be found by value≤2n, where n is the minimum number required.
  • Since in decimal numbers there are 10 symbols 0-9, to represent 9 n at least needs to be 4; that is the reason why BCD code is given in 4-bits for each decimal symbol.
  • So the given decimal number here is 0001-1, 0010-2, 0110-6, i.e. 126.
  • To represent 126 in binary, we need at least n=7 since 27=128 ≥ 126.

Therefore, the answer to convert BCD 0001 0010 0110 to binary is 1111110. Hence, option (A) is correct.

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